Finding the Fourth Proportional to 1,616.54, 2,434.78 and 1,538.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,616.54 : 2,434.78 = 1,538.78 : x
2. Step 2: Convert to fraction form
   1,616.54/2,434.78 = 1,538.78/x
3. Step 3: Cross multiply
   1,616.54x = 2,434.78 × 1,538.78
4. Step 4: Simplify right side
   1,616.54x = 3,746,590.77
5. Step 5: Solve for x
   x = 3,746,590.77/1,616.54
6. Step 6: Final answer
   x = 2,317.66